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Finding the Fourth Proportional to 6,728.67, 10,086.46 and 3,217.77

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Solution

The fourth proportional to 6,728.67, 10,086.46 and 3,217.77 is: 4,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.67 : 10,086.46 = 3,217.77 : x
  2. Step 2: Convert to fraction form
    6,728.67/10,086.46 = 3,217.77/x
  3. Step 3: Cross multiply
    6,728.67x = 10,086.46 × 3,217.77
  4. Step 4: Simplify right side
    6,728.67x = 32,455,908.39
  5. Step 5: Solve for x
    x = 32,455,908.39/6,728.67
  6. Step 6: Final answer
    x = 4,823.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.